RPM to Radians per Second

Convert rpm (rpm) to rad/s (rad/s) with formulas, examples, and conversion tables.

RPM (rpm)

rpm

rad/s (rad/s)

rad/s

1 rpm = 0.1047 rad/s

Full precision:0.10471993 rad/s

Step-by-Step Solution

To convert 1 rpm to rad/s, we divide by 9.5493 because one radians per second equals exactly 9.5493 rpm.

1 radians per second = 9.5493 rpm

Since there are 9.5493 rpm in every radians per second, we divide our value by this factor:

1 ÷ 9.5493 = 0.1047 rad/s

So 1 rpm = 0.1047 rad/s.

✓Quick check: 0.1047 × 9.5493 = 1 rpm

How to Convert RPM to rad/s

To convert rpm to rad/s, divide the value by 9.5493.

rad/s = RPM ÷ 9.5493

1 radians per second = 9.5493 rpm

Tip: To convert rad/s back to rpm, multiply by 9.5493.

Example 1: 1 rpm = 0.1047 rad/s
1 ÷ 9.5493 = 0.1047

Example 2: 5 rpm = 0.5236 rad/s
5 ÷ 9.5493 = 0.5236

Example 3: 10 rpm = 1.0472 rad/s
10 ÷ 9.5493 = 1.0472